Circle W is shown where points K, Z, and M are on the

circle. Tangents KH and ZH intersect at point H outside

the circle. Tangents NK and NM intersect at point N outside the circle. Tangents YM and YZ intersect at point Y outside the circle. NM = 14, NY = 23, and YH = 22.7.



What is the perimeter of triangle NHY?